126385 has 16 divisors (see below), whose sum is σ = 182016. Its totient is φ = 82368.

The previous prime is 126359. The next prime is 126397. The reversal of 126385 is 583621.

126385 = 33² + 34² + ... + 74².

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 126385 - 2⁷ = 126257 is a prime.

It is a Duffinian number.

126385 is a lucky number.

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727 + ... + 883.

It is an arithmetic number, because the mean of its divisors is an integer number (11376).

2¹²⁶³⁸⁵ is an apocalyptic number.

It is an amenable number.

126385 is a deficient number, since it is larger than the sum of its proper divisors (55631).

126385 is a wasteful number, since it uses less digits than its factorization.

126385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192.

The product of its digits is 1440, while the sum is 25.

The square root of 126385 is about 355.5066806686. The cubic root of 126385 is about 50.1839887987.

It can be divided in two parts, 12638 and 5, that multiplied together give a triangular number (63190 = T₃₅₅).

The spelling of 126385 in words is "one hundred twenty-six thousand, three hundred eighty-five".